136134433296 has 225 divisors, whose sum is σ = 406416532599. Its totient is φ = 43992315648.

The previous prime is 136134433291. The next prime is 136134433313. The reversal of 136134433296 is 692334431631.

The square root of 136134433296 is 368964.

It is a perfect power (a square), and thus also a powerful number.

136134433296 is a `hidden beast` number, since 1 + 3 + 613 + 4 + 4 + 3 + 3 + 29 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1298593296 + 134835840000 = 36036^2 + 367200^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (839808) is a multiple of the sum of its prime factors (648).

It is not an unprimeable number, because it can be changed into a prime (136134433291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 491459910 + ... + 491460186.

Almost surely, 2^136134433296 is an apocalyptic number.

136134433296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136134433296 is the 368964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136134433296

136134433296 is an abundant number, since it is smaller than the sum of its proper divisors (270282099303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136134433296 is an frugal number, since it uses more digits than its factorization.

136134433296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 319 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 136134433296 in words is "one hundred thirty-six billion, one hundred thirty-four million, four hundred thirty-three thousand, two hundred ninety-six".